Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample685.0ms (5.8%)

Results

673.0ms	8252×	body	256	valid
1.0ms	4×	body	2048	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess100.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2126×	`rational.json-simplify-35`
868×	`rational.json-simplify-51`
854×	`rational.json-simplify-2`
792×	`rational.json-simplify-1`
784×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	16	23
2	27	23
3	58	23
4	139	23
5	398	23
6	674	23
7	1489	23
8	2853	23
9	4847	23
10	7252	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2126×	`rational.json-simplify-35`
868×	`rational.json-simplify-51`
854×	`rational.json-simplify-2`
792×	`rational.json-simplify-1`
784×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	16	23
2	27	23
3	58	23
4	139	23
5	398	23
6	674	23
7	1489	23
8	2853	23
9	4847	23
10	7252	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 24 to 18 computations (25% saved)

series5.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`
1416×	`rational.json-3`
1408×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	72	51
2	182	51
3	409	51
4	1006	51
5	3909	51

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

Outputs
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Outputs

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(sqrt.f64 (+.f64 x 1))) x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational.json-simplify-53`
964×	`rational.json-simplify-2`
884×	`rational.json-simplify-55`
632×	`rational.json-simplify-39`
612×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	4433
1	528	4367
2	2341	3707
3	4158	3543

Stop Event

1×	node limit

Counts

145 → 187

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2))
(.f64 4 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(*.f64 4 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x -2) (/.f64 -1 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 1/2))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/2))
(.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) 2)
(.f64 (/.f64 -1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(.f64 (/.f64 2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 x 4))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4) (*.f64 x 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(.f64 (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1/2 x))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 -1 x))
(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) 4)
(.f64 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (*.f64 x 4))
(.f64 (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x -2))
(.f64 (/.f64 1/2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 4)
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) (*.f64 x 8))
(.f64 (/.f64 -1 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (*.f64 x -2))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 -2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(-.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 1/4)
(*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 1/8)
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(/.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 8)
(/.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2) -2)
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 -2 (-.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) 16)
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1)))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) 1) (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1)))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 1/2 x) (+.f64 2 (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 2 (.f64 1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(+.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1/2))
(-.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))) (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))
(-.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(-.f64 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1/2))
(-.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 4 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 4 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(.f64 x (.f64 8 (/.f64 1/8 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 8 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(.f64 x (.f64 8 (/.f64 -1/8 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -2 (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x -2) (/.f64 -1 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -2 (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 -1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 -1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 x 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4) (*.f64 x 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 -1 x))
(.f64 (/.f64 -1 x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 -1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) 4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (*.f64 x 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x -2))
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -2 (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1/2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) (/.f64 2 x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) (*.f64 x 8))
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(.f64 x (.f64 8 (/.f64 1/8 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 8 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)))
(.f64 x (.f64 8 (/.f64 -1/8 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 -1 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (*.f64 x -2))
(.f64 (.f64 x -2) (/.f64 -1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 -2 (.f64 x (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -2 (/.f64 (/.f64 x 2) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(sqrt.f64 (+.f64 x 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(sqrt.f64 (+.f64 x 1))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(+.f64 -2 (+.f64 (sqrt.f64 (+.f64 x 1)) 2))
(sqrt.f64 (+.f64 x 1))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(sqrt.f64 (+.f64 x 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(sqrt.f64 (+.f64 x 1))
(-.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -1)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)
(sqrt.f64 (+.f64 x 1))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)
(sqrt.f64 (+.f64 x 1))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))
(sqrt.f64 (+.f64 x 1))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 1)) 4))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)
(sqrt.f64 (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 4)) 8)
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 4))) 16)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 1/4)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 1/8)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 2 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) 4)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8) 8)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2) -2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -2 (-.f64 0 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -2 (-.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 8)) 16)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval56.0ms (0.5%)

Compiler: Compiled 2889 to 2334 computations (19.2% saved)

prune31.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	179	8	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	9	188

Error

0.0b

Counts

188 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.9b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
▶	28.0b	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
	17.1b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	17.5b	(/.f64 x 2)
	23.0b	(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
	27.9b	(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
▶	0.1b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶	22.7b	(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))))

Compiler

Compiled 269 to 209 computations (22.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 34 to 27 computations (20.6% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
0.0ms	x	@	0	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`rational.json-1`
1504×	`rational.json-2`
1504×	`rational.json-4`
1504×	`rational.json-3`
1486×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	79	46
2	183	46
3	385	46
4	872	46
5	2740	46
6	6465	46

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 8) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (.f64 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1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1/2) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x -2)) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (-.f64 0 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x -2)) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (/.f64 x 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1 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 x 4))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))))

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(neg.f64 (*.f64 2 (*.f64 x -2))) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (-.f64 0 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))))))

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-35`
1376×	`rational.json-simplify-51`
1316×	`rational.json-simplify-2`
1180×	`rational.json-simplify-50`
1134×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2686
1	643	2686
2	1727	2674
3	5395	2674

Stop Event

1×	node limit

Counts

96 → 131

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 4 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/4)
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)
(*.f64 1/4 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 4 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 8 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x))
(/.f64 (.f64 x 4) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 -2 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 2 x) (/.f64 2 x)))
(/.f64 (*.f64 x (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 4)
(/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(/.f64 16 (+.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8) x)))
(/.f64 (.f64 x 8) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(/.f64 (.f64 x -2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x))))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) (.f64 2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(/.f64 (/.f64 (*.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(/.f64 (.f64 x 1/2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (.f64 2 (.f64 x -2)) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4))
(/.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8)))
(/.f64 (/.f64 (*.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 -1/2 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) 1/4)
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (.f64 x -2)) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8))) 32)
(/.f64 (+.f64 (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 16)
(/.f64 (+.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 x -2)) (neg.f64 (.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 2 x)))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 x -2))) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))

Outputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 x) (+.f64 (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))) (*.f64 -5/128 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 3))) (*.f64 -1/8 x)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -5/128 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 -5/128 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 4 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2)
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/4)
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4)
(*.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1/4)
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)
(*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/4 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/4)
(*.f64 (/.f64 -4 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1/4)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (.f64 (/.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 1/2 (/.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (.f64 (/.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 1/2 (/.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
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(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 8)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 8)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1/2 (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)) 1/4)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x -2)) (+.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 x 4))) (.f64 2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (.f64 2 (.f64 x -2)) (.f64 2 (.f64 x -2))) (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 8))) 32)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 x 8) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 16)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) -2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (neg.f64 (.f64 x -2)) (neg.f64 (.f64 x -2))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (/.f64 2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (.f64 2 (.f64 x -2))) (-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (-.f64 0 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 (.f64 x -2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
✓	0.2b	(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
✓	27.6b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)

Compiler

Compiled 46 to 33 computations (28.3% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
1.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
1.0ms	x	@	-inf	(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
0.0ms	x	@	-inf	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
0.0ms	x	@	inf	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2000×	`rational.json-1`
1120×	`exponential.json-3`
1120×	`rational.json-2`
1120×	`rational.json-4`
1120×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	87
1	92	87
2	274	75
3	946	75
4	3331	75
5	7695	75

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) 1/2) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))))))

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1640×	`rational.json-simplify-54`
1084×	`rational.json-simplify-51`
844×	`rational.json-simplify-44`
826×	`rational.json-simplify-47`
746×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	4222
1	475	4174
2	1187	4174
3	4547	4156

Stop Event

1×	node limit

Counts

150 → 192

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -5/128 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 2)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1/2 x))
(.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (*.f64 (/.f64 1 x) 1/2))
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 x))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/2)
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 x) (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 x 4))
(*.f64 (/.f64 -1 x) (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(+.f64 0 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(-.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(-.f64 0 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 -1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 x x) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) 1/2)
(.f64 2 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))))
(.f64 2 (.f64 x (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4) 1/4)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1 x) (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)))
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -1)
(*.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x 2))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1 x)))
(.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x x) (/.f64 1 x)))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 x 2) (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)) (/.f64 1 x))
(.f64 (/.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1 x)) (/.f64 1/2 x))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))) 2)
(.f64 1/4 (.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4))
(.f64 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4)) (*.f64 x 4))
(.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(neg.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 0)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 0)
(-.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)
(*.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 -1 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (/.f64 1/2 x))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 1 x) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) 1/2))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 1/2)
(.f64 2 (/.f64 x (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2))
(.f64 2 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 1/4)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) -1)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)) x)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)) (/.f64 1 (/.f64 1 x)))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(*.f64 (/.f64 2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 (/.f64 1 x) 1/2) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) 1/2) (+.f64 x x))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(*.f64 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))) -1)
(.f64 (/.f64 x (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)) 2)
(.f64 (/.f64 1 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)) (+.f64 x x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)) 2)
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)) (+.f64 x x))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2) 2)
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(neg.f64 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -5/128 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 5)) (.f64 1/16 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 5)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/16 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8)))
(+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 (.f64 x -1/8) (+.f64 1/2 (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 2) 1/16))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)) (*.f64 x -1/8)))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 (.f64 (pow.f64 x 2) 1/16) (/.f64 2 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1/2))
(-.f64 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1/2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (*.f64 (/.f64 1 x) 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 4 (/.f64 1 (.f64 x 4))))
(.f64 4 (.f64 (/.f64 1/4 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 4 (/.f64 1/4 x))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 4 (.f64 x (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 4 (/.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/2)
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 x) (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 4 (/.f64 1 (.f64 x 4))))
(.f64 4 (.f64 (/.f64 1/4 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 4 (/.f64 1/4 x))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 4 (.f64 x (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 4 (/.f64 x (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 x) (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(+.f64 0 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(+.f64 -1 (-.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(-.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(-.f64 0 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 1 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 -1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (+.f64 x x) (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) 1/2)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 2 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 2 (.f64 x (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 2 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4) 1/4)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4)))
(.f64 x (.f64 4 (/.f64 1 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 x (.f64 4 (/.f64 1/4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 x (.f64 4 (*.f64 x (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 4 (/.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 1 x) (.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 1 x) (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -1)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x 2))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 1/2 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x x) (/.f64 1 x)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 1/2 x)))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 1/2 x)))
(.f64 (/.f64 x 2) (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)) (/.f64 1 x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2) (/.f64 1 x)) (/.f64 1/2 x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))) 2)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 1/4 (.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 2)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4)) (*.f64 x 4))
(.f64 x (.f64 4 (/.f64 1 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(.f64 x (.f64 4 (/.f64 1/4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 x (.f64 4 (*.f64 x (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 4 (/.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 x (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(neg.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 0)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 0)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(-.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 -1 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(.f64 1/2 (.f64 (/.f64 1 x) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) 1/2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (+.f64 x x) (/.f64 1 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (+.f64 x x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 1/2)
(.f64 1/2 (.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 2 (/.f64 x (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 2 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (/.f64 1 (*.f64 x 4)))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/4 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 4 (/.f64 1/4 x)))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 1/4)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)) (/.f64 1 (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 1/2 (.f64 (/.f64 2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1/2 x) (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (/.f64 1/2 x) (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 x) 1/2) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(.f64 1/2 (.f64 (/.f64 1 x) (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x)) 1/2) (+.f64 x x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 x (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1 (.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) -2)) (+.f64 x x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x)) (+.f64 x x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/4 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 4 (/.f64 1/4 x)))
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 2 (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 2 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2) 2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(neg.f64 (/.f64 x (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
✓	0.1b	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x)
✓	27.8b	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))

Compiler

Compiled 58 to 44 computations (24.1% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
0.0ms	x	@	-inf	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
0.0ms	x	@	inf	(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
0.0ms	x	@	inf	(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-simplify-50`
1226×	`exponential.json-3`
1226×	`rational.json-1`
1226×	`rational.json-2`
1226×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	111
1	110	111
2	342	99
3	1492	87
4	4746	87

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))

(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x)

(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (/.f64 (/.f64 1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (*.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (+.f64 x x)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 4)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 (/.f64 (*.f64 x 4) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x (*.f64 x 4)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 0 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (-.f64 0 (*.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (*.f64 (/.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (*.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (*.f64 2 (*.f64 (/.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) (*.f64 2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (-.f64 0 (*.f64 2 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) (-.f64 0 (*.f64 2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))) (neg.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (-.f64 0 (*.f64 2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))))))

simplify225.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-51`
1186×	`rational.json-simplify-53`
1154×	`rational.json-simplify-49`
1096×	`rational.json-simplify-46`
936×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4837
1	816	4777
2	2415	4717
3	5519	4717

Stop Event

1×	node limit

Counts

137 → 176

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(-.f64 (+.f64 (.f64 1/32 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) 1/16)
(/.f64 1 x)
(+.f64 1/4 (/.f64 1 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (.f64 -1/16 x) (+.f64 (.f64 1/32 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 x))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(.f64 (.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(.f64 (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(.f64 (.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 x x))
(.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 x 4))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(-.f64 0 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))
(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(.f64 1 (.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 (.f64 x x)))
(.f64 (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 x))
(.f64 (.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 1/2)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))
(.f64 2 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (/.f64 (/.f64 1/2 x) (+.f64 x x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (*.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 4)))
(.f64 (/.f64 2 x) (.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 2 x) (.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(.f64 (/.f64 1/2 (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (neg.f64 (.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) -1)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (*.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (*.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) 4)))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 x x)) (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))
(.f64 (.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) 4)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))
(.f64 (.f64 1/2 (/.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(.f64 (.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/2 x) (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 2 x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 (/.f64 1 x) 4)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(neg.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 0)
(-.f64 0 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))
(/.f64 x (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (neg.f64 (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (.f64 x 4) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x (*.f64 x 4))))
(/.f64 1 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 x (.f64 x 4)) (+.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 0 (neg.f64 (+.f64 x x))))
(/.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(/.f64 (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (-.f64 0 (.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (/.f64 1 x))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) (/.f64 2 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)
(/.f64 2 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (.f64 x 4))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) (.f64 2 (/.f64 2 x)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) -1)
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (*.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) (neg.f64 (/.f64 1 x)))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 4)
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 2 (*.f64 x 4)))
(/.f64 (.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (.f64 2 (*.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 8)
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) x)
(/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) (*.f64 x (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (neg.f64 (.f64 x 4)))
(/.f64 -2 (-.f64 0 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) (.f64 2 (neg.f64 x)))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (+.f64 x x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 x x)) 1/2)
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (-.f64 0 (.f64 2 (*.f64 x 4))))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) (-.f64 0 (.f64 2 (/.f64 2 x))))
(/.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) x)
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))) (neg.f64 (*.f64 x (+.f64 x x))))
(/.f64 (neg.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (-.f64 0 (.f64 2 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) x)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 1/4 (/.f64 1 x)) 1/16))
(-.f64 (+.f64 (.f64 1/32 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) 1/16)
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/4 (/.f64 1 x))) (-.f64 (.f64 x 1/32) 1/16))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (-.f64 (.f64 1/4 (/.f64 1 x)) 1/16) (.f64 x 1/32)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 x 1/32) (-.f64 (.f64 1/4 (/.f64 1 x)) 1/16)))
(/.f64 1 x)
(+.f64 1/4 (/.f64 1 x))
(+.f64 1/4 (+.f64 (*.f64 -1/16 x) (/.f64 1 x)))
(+.f64 1/4 (+.f64 (/.f64 1 x) (*.f64 x -1/16)))
(+.f64 (/.f64 1 x) (+.f64 1/4 (*.f64 x -1/16)))
(+.f64 1/4 (+.f64 (.f64 -1/16 x) (+.f64 (.f64 1/32 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1/4 (+.f64 (.f64 x -1/16) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 2) 1/32))))
(+.f64 (.f64 (pow.f64 x 2) 1/32) (+.f64 (/.f64 1 x) (+.f64 1/4 (.f64 x -1/16))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1/2 x) (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (*.f64 x x))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1 x) (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (+.f64 x x)))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 2 (/.f64 x x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (*.f64 x x))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1 x) (.f64 1/2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 1 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
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(/.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (-.f64 0 (.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (/.f64 1 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (neg.f64 (/.f64 1 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) (/.f64 2 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 2)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 2 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2) (.f64 x 4))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x 4))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) (.f64 2 (/.f64 2 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) -1)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (*.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x))) (neg.f64 (/.f64 1 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) 4)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 2 (*.f64 x 4)))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)) (.f64 2 (*.f64 (/.f64 1 x) (neg.f64 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4) 8)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (neg.f64 (+.f64 x x))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)) (neg.f64 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x)) (*.f64 x (+.f64 x x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) (neg.f64 (/.f64 2 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (.f64 2 (/.f64 (.f64 x (+.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (neg.f64 (.f64 x 4)))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x 4))
(/.f64 -2 (-.f64 0 (*.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) (.f64 2 (neg.f64 x)))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (+.f64 x x))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 x x)) 1/2)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (-.f64 0 (.f64 2 (*.f64 x 4))))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) (-.f64 0 (.f64 2 (/.f64 2 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x))) x)
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))) (neg.f64 (*.f64 x (+.f64 x x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (-.f64 0 (.f64 2 (neg.f64 x))))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (neg.f64 (+.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2) (/.f64 1 x)))) (neg.f64 x))
(/.f64 x (*.f64 (+.f64 x x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (/.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) x)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 1)
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))
(neg.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))
(*.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))))
✓	0.1b	(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))
✓	0.1b	(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))
✓	22.6b	(.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2)))))

Compiler

Compiled 135 to 108 computations (20% saved)

series75.0ms (0.6%)

Counts

4 → 16

Calls

12 calls:

Time	Variable		Point	Expression
65.0ms	x	@	0	(.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2)))))
2.0ms	x	@	inf	(.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2)))))
1.0ms	x	@	-inf	(.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2)))))
1.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))
1.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`exponential.json-3`
1374×	`rational.json-1`
1374×	`rational.json-2`
1374×	`rational.json-4`
1374×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	246
1	150	246
2	418	246
3	1642	222
4	4697	222

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

Inputs
(.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2)))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))
(/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))))

Outputs
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simplify203.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational.json-simplify-35`
1142×	`rational.json-simplify-54`
842×	`rational.json-simplify-51`
790×	`rational.json-simplify-49`
734×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	12890
1	1491	11998
2	5469	11420

Stop Event

1×	node limit

Counts

206 → 363

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/4 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (+.f64 (.f64 1/4 x) (.f64 -7/128 (pow.f64 x 4)))))
x
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 x 3)) (+.f64 (.f64 5/32 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 3)) (+.f64 (.f64 -7/64 (pow.f64 x 5)) (+.f64 (.f64 5/32 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 0)
(+.f64 0 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(-.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 0)
(/.f64 1/2 (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (/.f64 (+.f64 x x) (/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(/.f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) x))
(/.f64 (/.f64 1/2 x) (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (neg.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (neg.f64 x)))
(/.f64 1 (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 -1 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 -1/2 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (+.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(/.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 1)
(/.f64 (+.f64 x x) (.f64 (+.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (+.f64 x x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 x)))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))
(/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 x 4)))
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 x x) (.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 2 (.f64 (+.f64 x x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x) 2)
(/.f64 (.f64 x 4) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x 4)))
(/.f64 (.f64 x 4) (.f64 2 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 x))))
(/.f64 (.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 4))
(/.f64 4 (.f64 (.f64 x 4) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (.f64 (/.f64 1/2 x) 2) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 4) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)) (*.f64 x 4)))
(/.f64 (.f64 x -2) (.f64 (+.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)))
(/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(/.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (.f64 -1/2 (+.f64 x x)))
(/.f64 (neg.f64 x) (.f64 (+.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(/.f64 (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2) (.f64 (+.f64 x x) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 4))))
(/.f64 (.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4)) (.f64 (+.f64 x x) 4))
(/.f64 (.f64 x (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x 4)))
(/.f64 (.f64 x (.f64 2 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (.f64 x -2))
(/.f64 (.f64 (/.f64 1/2 x) 4) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))))
(/.f64 (.f64 (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 4) 4)
(/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) x)
(/.f64 (/.f64 -1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 x))
(/.f64 (/.f64 4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (.f64 x 4))
(/.f64 (/.f64 x (+.f64 x x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (+.f64 x x)) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)))
(/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x)))
(/.f64 (/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) (*.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x x) x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))))
(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x)) (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 4))) 8)
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (.f64 x -2))
(pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) 1)

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/4 x))
(+.f64 (.f64 1/4 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 5/64 (pow.f64 x 3))))
(+.f64 (.f64 1/4 x) (+.f64 (.f64 5/64 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/4 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 5/64 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (+.f64 (.f64 1/4 x) (.f64 -7/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (+.f64 (.f64 -7/128 (pow.f64 x 4)) (.f64 5/64 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/4 x) (.f64 -7/128 (pow.f64 x 4))) (+.f64 (.f64 5/64 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 5/64 (pow.f64 x 3)) (.f64 -7/128 (pow.f64 x 4))) (+.f64 (.f64 1/4 x) (.f64 -1/8 (pow.f64 x 2))))
x
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) x)
(+.f64 x (*.f64 (pow.f64 x 2) -1/4))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 x (.f64 (pow.f64 x 3) 1/8)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 3) 1/8)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) (.f64 (pow.f64 x 3) 1/8))
(+.f64 (.f64 -5/64 (pow.f64 x 4)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/8)) (*.f64 (pow.f64 x 4) -5/64)))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 (+.f64 x (.f64 (pow.f64 x 2) -1/4)) (*.f64 (pow.f64 x 4) -5/64)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 3) -1/4))
(+.f64 (.f64 -1/4 (pow.f64 x 3)) (+.f64 (.f64 5/32 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 3) -1/4) (+.f64 (.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 4) 5/32)))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) 5/32) (*.f64 (pow.f64 x 3) -1/4)))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 3) -1/4) (*.f64 (pow.f64 x 4) 5/32)))
(+.f64 (.f64 -1/4 (pow.f64 x 3)) (+.f64 (.f64 -7/64 (pow.f64 x 5)) (+.f64 (.f64 5/32 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 3) -1/4) (+.f64 (.f64 (pow.f64 x 4) 5/32) (+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 -7/64 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) -1/4) (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 -7/64 (pow.f64 x 5)) (.f64 (pow.f64 x 4) 5/32))))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 5/32) (.f64 -7/64 (pow.f64 x 5))) (.f64 (pow.f64 x 3) -1/4)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/16)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/16) (.f64 (pow.f64 x 4) -5/128)) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/16)) (.f64 (pow.f64 x 4) -5/128)))
(+.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 0)
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 0)
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1/2 (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 x x))))
(/.f64 x (/.f64 (+.f64 x x) (/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 x x) x))
(.f64 x (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x)))
(/.f64 x (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 x x))))
(/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 x x))))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(/.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(/.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))
(/.f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) x))
(/.f64 x (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1/2)) (/.f64 1/2 x)))
(/.f64 x (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(/.f64 1 (.f64 x (.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))))
(/.f64 (/.f64 1/2 x) (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (neg.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x)))
(/.f64 (/.f64 1/2 x) (.f64 (neg.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (neg.f64 x))))
(/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 1/2 x))))
(/.f64 (/.f64 1/2 x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x)))
(/.f64 (/.f64 1/2 x) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
(/.f64 1/2 (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) x)))
(/.f64 (/.f64 1/2 x) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1/2 x)) x)))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (neg.f64 x)))
(/.f64 1/2 (.f64 x (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) (.f64 2 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (/.f64 (.f64 x (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1/2)) x)
(/.f64 1 (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1/2 (.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (+.f64 x x))))
(/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (+.f64 x x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 x x) x))
(.f64 x (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x)))
(/.f64 (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))
(/.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 x x) x))
(.f64 x (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x)))
(/.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 1)
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 x x) (.f64 (+.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 x x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 x)))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 x x) (.f64 2 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))
(/.f64 (+.f64 x x) (.f64 2 (.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 x x) 2) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 x 4)))
(/.f64 (.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 x x) (.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 2 (.f64 (+.f64 x x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x) 2)
(/.f64 (.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (*.f64 x 2))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (*.f64 x 2)))
(+.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 x))) (/.f64 0 x))
(/.f64 (.f64 x 4) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x 4)))
(/.f64 (.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(/.f64 (.f64 x 4) (.f64 2 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 x))))
(/.f64 (/.f64 (.f64 x 4) 2) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (.f64 x 2) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 x x)))))
(/.f64 (.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x 4))
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(+.f64 -1 (-.f64 1 (/.f64 x (.f64 (/.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 -1 (-.f64 1 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))))
(/.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))
(neg.f64 (/.f64 (.f64 x (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 -1 (-.f64 1 (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 (+.f64 x x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2))
(/.f64 2 (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 2 (.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 x x) (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(.f64 x (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(.f64 (.f64 x (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (/.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 x x))))
(/.f64 (.f64 (.f64 x (/.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x 2)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 1/2 x) (+.f64 x x)))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))
(.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 -1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) x))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1/2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (*.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 x (*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x -2)) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x -2)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 x -2) (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 x -2)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x -2))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x -2)))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 x)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (.f64 (neg.f64 (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (neg.f64 x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 1/2 x)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1/2 x)) (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (neg.f64 x))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (.f64 (/.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (neg.f64 x) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1/2 x) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1/2 x)) x))))
(/.f64 (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (neg.f64 x)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) (.f64 2 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 x (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (.f64 x 4))
(.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 4 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x 4)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 4)) 4)
(.f64 (.f64 4 (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 4))) 8)
(.f64 (.f64 4 (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (/.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (.f64 x -2))
(/.f64 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (.f64 x -2))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (.f64 x -2))
(pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))

eval451.0ms (3.8%)

Compiler: Compiled 21809 to 16941 computations (22.3% saved)

prune209.0ms (1.8%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1004	12	1016
Fresh	2	1	3
Picked	1	0	1
Done	1	4	5
Total	1008	17	1025

Error

0.0b

Counts

1025 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	27.9b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
	39.7b	(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
	40.4b	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
	0.3b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
	33.5b	(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 x x))))) x))
▶	28.1b	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
	0.2b	(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 1/2 x))))
▶	17.1b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	17.5b	(/.f64 x 2)
	0.3b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
▶	0.3b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
▶	0.1b	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
	27.9b	(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 x))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	0.3b	(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))

Compiler

Compiled 449 to 346 computations (22.9% saved)

localize100.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
✓	0.1b	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
✓	0.1b	(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 78 to 64 computations (17.9% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
0.0ms	x	@	-inf	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
0.0ms	x	@	inf	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)

rewrite160.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`rational.json-simplify-35`
1096×	`exponential.json-3`
1096×	`rational.json-1`
1096×	`rational.json-2`
1096×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	167
1	100	167
2	243	167
3	692	85
4	2909	85

Stop Event

1×	node limit

Counts

3 → 234

Calls

Call 1

Inputs

(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)

(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

Outputs

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2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))))

simplify419.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-35`
1290×	`rational.json-simplify-44`
1282×	`rational.json-simplify-47`
1196×	`rational.json-simplify-61`
888×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	497	11896
1	1599	11008

Stop Event

1×	node limit

Counts

246 → 330

Calls

Call 1

Inputs
4
(+.f64 (*.f64 2 x) 4)
(+.f64 (.f64 2 x) (+.f64 4 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 2 x) (+.f64 4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (neg.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)) 2)
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)) (+.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 2 (.f64 2 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 2 (.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 2 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (neg.f64 (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 2 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 (/.f64 (neg.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (/.f64 (neg.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4)) 4)
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 2 (+.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 4 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (/.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))))
(/.f64 4 (.f64 2 (.f64 2 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 4 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4)) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 4 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4) (neg.f64 (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 4 (+.f64 (.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))))
(/.f64 4 (+.f64 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (neg.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (neg.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4)))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4))) 8)
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(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) x))
(/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (*.f64 2 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(/.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) x) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) x)))
(/.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4)) 8)
(/.f64 (/.f64 (*.f64 x 4) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4)
(/.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4)) (.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4))) 16)
(/.f64 (+.f64 (/.f64 (.f64 x 4) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 x 4) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 8)
(/.f64 (+.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (/.f64 x (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))
(/.f64 (neg.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (/.f64 x (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 -1 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 1/2))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))))
(.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 2 (/.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 4))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1/2 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 1/2) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 1/2) (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) -1)
(.f64 (/.f64 1 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) 2)
(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 1/2))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (fabs.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))
(.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 4) 2)
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 4))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))
(pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

Outputs
4
(+.f64 (*.f64 2 x) 4)
(+.f64 4 (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 4 (.f64 -1/4 (pow.f64 x 2))))
(+.f64 4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 2 x)))
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 4 (.f64 2 x)))
(+.f64 (.f64 2 x) (+.f64 4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 4 (+.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 4 (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) -1/8))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 3) 1/16) (*.f64 (pow.f64 x 2) -1/8)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 3) 1/16)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/16) (.f64 -5/128 (pow.f64 x 4))) (.f64 (pow.f64 x 2) -1/8)))
(+.f64 (.f64 (pow.f64 x 2) -1/8) (+.f64 (.f64 (pow.f64 x 3) 1/16) (+.f64 (.f64 x 1/2) (.f64 -5/128 (pow.f64 x 4)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 x -1/8))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 x -1/8)))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 1/2 (.f64 x -1/8)))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 x -1/8) (+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 3) -5/128))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)) (*.f64 (pow.f64 x 3) -5/128)))
(+.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (neg.f64 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
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localize8.0ms (0.1%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
✓	0.2b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series2.0ms (0%)

Counts

4 → 16

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
0.0ms	x	@	inf	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0ms	x	@	-inf	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
0.0ms	x	@	inf	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational.json-1`
1706×	`rational.json-2`
1706×	`rational.json-4`
1706×	`rational.json-3`
1698×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	74
1	83	74
2	212	74
3	509	74
4	1358	74
5	4547	74

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(sqrt.f64 (+.f64 1 x))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x 2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 2 x)) (.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 1 (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 x)) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (.f64 2 (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 2 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 (.f64 (/.f64 1 x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 (.f64 2 (/.f64 1/2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (/.f64 2 (.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x 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-1))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 x 8)) (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (-.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (-.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x -1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))))))

simplify393.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-2`
1124×	`rational.json-simplify-59`
1116×	`rational.json-simplify-35`
1082×	`rational.json-simplify-1`
882×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3686
1	642	3656
2	2169	3438
3	5415	3438
4	7620	3438

Stop Event

1×	node limit

Counts

158 → 192

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 x (.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 x (.f64 (*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1/2)) 1/2))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) 1))
(.f64 (+.f64 x x) (.f64 (*.f64 2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2))
(.f64 2 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)))
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 2 (.f64 (/.f64 x (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) 1))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 2 x)) (.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2))
(.f64 (.f64 x 4) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 (.f64 x 4) (.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) 1))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 1 (/.f64 1 x)) 1))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1))
(.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))) 1/2))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -1)
(.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) (*.f64 x 4))
(.f64 (/.f64 x (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2)) 2)
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(neg.f64 (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))
(neg.f64 (/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 x)) (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 0)
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)))
(+.f64 (-.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)) -1)
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 0)
(-.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 2 (/.f64 1/2 x)))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (*.f64 2 (/.f64 1 x)) 1/2))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 2 x) 1/2))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1)
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (/.f64 2 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))) 1/2))
(*.f64 -1 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (/.f64 1/2 x))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 (.f64 (/.f64 1 x) 1/2) 1))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 (.f64 2 (/.f64 1/2 x)) 1/2))
(.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1/2))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1/2 x)))
(.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) 1))
(.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (/.f64 1 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 2 x)) 1/2)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (/.f64 2 (*.f64 x 8)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (*.f64 1/2 (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (.f64 (/.f64 2 (.f64 x 8)) 1))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (*.f64 1/4 (/.f64 1 x)))
(.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 1/2))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 4) 1/4)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 x -1))))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 (/.f64 1 x) (.f64 (/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1))
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (/.f64 -1 x))
(.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 -1 x) 1))
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x) -1)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 2 x)))
(.f64 (/.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) 2)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 2 (/.f64 1 x)))
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 4))
(.f64 (/.f64 2 (.f64 x 8)) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) x))
(+.f64 (sqrt.f64 (-.f64 x -1)) 0)
(+.f64 0 (sqrt.f64 (-.f64 x -1)))
(-.f64 (sqrt.f64 (-.f64 x -1)) 0)
(*.f64 1 (sqrt.f64 (-.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x -1)) 1)
(*.f64 2 (/.f64 (sqrt.f64 (-.f64 x -1)) 2))
(.f64 2 (.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 1))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 x -1)) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(/.f64 (sqrt.f64 (-.f64 x -1)) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) 16)
(pow.f64 (sqrt.f64 (-.f64 x -1)) 1)
(-.f64 (sqrt.f64 (-.f64 x -1)) -1)
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 0)
(-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(*.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1/2)
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 1/4)
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(.f64 1/2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) -2)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 2)
(.f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 2)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 4)
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 8) 8)
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) -2) -2)
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 8)) 16)
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(neg.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
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(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (/.f64 2 (*.f64 x 8)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (*.f64 1/2 (/.f64 1/2 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (.f64 (/.f64 2 (.f64 x 8)) 1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) (*.f64 1/4 (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) 1/2))
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 1/2 (/.f64 2 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(.f64 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 x (*.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 4) 1/4)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 x -1))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1 x) (.f64 (/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (/.f64 -1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) (.f64 (/.f64 -1 x) 1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 2 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 1/2 x) (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (.f64 (/.f64 1 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) (+.f64 x x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) (.f64 2 (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 1/4 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 4))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(.f64 (/.f64 2 (.f64 x 8)) (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) x)) (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) x)))
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 1/2 (/.f64 2 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(.f64 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 x (*.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 (sqrt.f64 (-.f64 x -1)) 0)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(+.f64 0 (sqrt.f64 (-.f64 x -1)))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(-.f64 (sqrt.f64 (-.f64 x -1)) 0)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (-.f64 x -1)))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 2 (/.f64 (sqrt.f64 (-.f64 x -1)) 2))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(.f64 2 (.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 1))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) 1/2)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 x -1)) 2))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 4) 4)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) 8)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) 16)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(-.f64 (sqrt.f64 (-.f64 x -1)) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 0)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 -1 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 1))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1/2))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 1/4)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/2 (neg.f64 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) -2)))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 1/4 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 2) 2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 4)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 8) 8)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) -2) -2)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 8)) 16)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (-.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	3.5b	(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	27.6b	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
0.0ms	x	@	-inf	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`exponential.json-3`
1608×	`rational.json-1`
1608×	`rational.json-2`
1608×	`rational.json-4`
1608×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	94	64
2	296	64
3	1008	52
4	5103	52

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (*.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (*.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (*.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 2) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 4)) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))))

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-51`
1066×	`rational.json-simplify-43`
898×	`rational.json-simplify-35`
852×	`rational.json-simplify-44`
824×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	3293
1	564	3275
2	1373	3245
3	5322	3233

Stop Event

1×	node limit

Counts

111 → 160

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -5/128 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 (+.f64 x x)))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 (neg.f64 x)))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 -1 (/.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)))
(.f64 -1 (/.f64 (.f64 x x) (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 -1 (/.f64 (.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
(.f64 -1 (/.f64 (.f64 x x) (neg.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (.f64 x x) 2) (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(.f64 (.f64 (.f64 x x) 2) (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1/2 x) 1))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/2) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (/.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 2 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 2 (/.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)))
(.f64 2 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 1 (.f64 (.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (/.f64 1 (.f64 x 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(.f64 (fabs.f64 x) (.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(.f64 (/.f64 1 x) (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 (.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (neg.f64 x)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (fabs.f64 x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (fabs.f64 x))
(.f64 (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (.f64 x x) 2))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 2 x) (/.f64 (.f64 x x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (fabs.f64 x)))
(.f64 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) 2)
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 -1 (/.f64 (.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (*.f64 x x) 2) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/2)
(.f64 (+.f64 x x) (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) 1))
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 2 (/.f64 (.f64 x x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 2 (/.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 1 (.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/2))
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 x x) 2))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (*.f64 x x) 2))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 x))
(.f64 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (+.f64 x x))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -5/128 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 5))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 5)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 (+.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 0 (neg.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -1 (/.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -1 (/.f64 (.f64 x x) (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -1 (/.f64 (.f64 x x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -1 (/.f64 (.f64 x x) (neg.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x x) 2) (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x x) 2) (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1/2 x) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/2) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (/.f64 1 x)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (*.f64 1/2 x)))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 2 (/.f64 x x)))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (/.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (*.f64 1/2 x)))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 2 (/.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 1 (.f64 (.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) (/.f64 1 (.f64 x 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 4 (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 4 (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4))))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 4 (*.f64 x x)) (/.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 (*.f64 x x) (/.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (fabs.f64 x) (.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 x) (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (neg.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 x x) (+.f64 x x)))
(.f64 x (.f64 (/.f64 x (+.f64 x x)) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 1/2 (/.f64 x x))))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1/2 x))))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x (fabs.f64 x)) (/.f64 (/.f64 (/.f64 x x) (fabs.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x (fabs.f64 x)) (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 x)))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (fabs.f64 x) (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (fabs.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 (.f64 x x) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 x) (/.f64 (.f64 x x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 (/.f64 2 x) (.f64 x (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 2 x)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (fabs.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) 2)
(.f64 2 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 1/2 x) (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 x) (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 (+.f64 x x) (/.f64 1 x)))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (*.f64 1/2 x)))
(.f64 (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))) (*.f64 2 (/.f64 x x)))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 1 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -1 (/.f64 (.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (*.f64 x x) 2) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 x x) 2) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/2)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 (+.f64 x x) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 2 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 x (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) 1))
(.f64 (+.f64 x x) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 2 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 x x) (.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 (.f64 x x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 (+.f64 x x) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 2 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (/.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 1 (.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 1/4)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (.f64 x 4)) (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)))
(.f64 (/.f64 1 (.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (.f64 x (.f64 x 4)))
(.f64 x (.f64 x (*.f64 4 (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 x (.f64 x (*.f64 4 (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 x (*.f64 x 4)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (fabs.f64 x) (.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 1/2))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (.f64 x x) 2))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x (/.f64 x 2)))
(.f64 x (.f64 1/2 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (.f64 x (fabs.f64 x))) (/.f64 (fabs.f64 x) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x x))))
(.f64 (.f64 x (fabs.f64 x)) (.f64 x (/.f64 (/.f64 (fabs.f64 x) (.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (fabs.f64 x) (.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 x x) (fabs.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (*.f64 x (fabs.f64 x)) (/.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 x))))
(.f64 1/2 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (*.f64 x x) 2))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (fabs.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (fabs.f64 x))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 2 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 (fabs.f64 x) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))
(.f64 (+.f64 x x) (/.f64 x (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 2 (/.f64 x (+.f64 2 (*.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (*.f64 x x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))

localize86.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
	0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
✓	0.2b	(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))
✓	27.8b	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))

Compiler

Compiled 56 to 42 computations (25% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
0.0ms	x	@	inf	(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))
0.0ms	x	@	0	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`exponential.json-3`
1244×	`rational.json-1`
1244×	`rational.json-2`
1244×	`rational.json-4`
1244×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	108	82
2	333	70
3	1492	58
4	4980	58

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 x (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 4) (*.f64 x (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 4)))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (/.f64 1/2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (*.f64 (+.f64 x x) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (*.f64 x (*.f64 x 4)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (-.f64 (neg.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (*.f64 x (-.f64 (neg.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 2 (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))) (neg.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (+.f64 x x) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))) (-.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-35`
1158×	`rational.json-simplify-51`
1078×	`rational.json-simplify-44`
1010×	`rational.json-simplify-50`
966×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	3110
1	547	3110
2	1518	3080
3	5816	2960

Stop Event

1×	node limit

Counts

84 → 123

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(-.f64 (+.f64 (.f64 1/32 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) 1/16)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 0 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1 x) (.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1 x) (.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 x))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(*.f64 2 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 x 4) (.f64 x (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 4)))))
(.f64 (.f64 (/.f64 1/2 x) 4) (*.f64 x (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) (/.f64 1/2 x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(*.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(.f64 (.f64 x (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x 4)))) (*.f64 x 4))
(.f64 (.f64 x (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (/.f64 1/2 x) 4))
(.f64 (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) x)
(.f64 (.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(.f64 (.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 x))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(/.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (+.f64 x x)))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(/.f64 -1 (neg.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)
(/.f64 2 (.f64 2 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x 4))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 (+.f64 x x) (*.f64 x 4)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (.f64 x (.f64 x 4)) (+.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) 4)
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (-.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (neg.f64 (+.f64 x x)))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (.f64 x (*.f64 x 4)))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 2 (*.f64 x 4)))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (*.f64 x (-.f64 (neg.f64 x) x))))
(/.f64 (.f64 2 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (.f64 2 (neg.f64 (+.f64 x x))))
(/.f64 (.f64 2 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) 8)
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (neg.f64 (.f64 x (*.f64 x 4))))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (.f64 2 (.f64 (+.f64 x x) (*.f64 x 4))))
(/.f64 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))) (-.f64 (neg.f64 x) x))
(/.f64 (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4) (.f64 x x))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 (.f64 x 4)))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))) x)
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))) (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) 1/16)
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 1/4 (/.f64 1 x)) 1/16))
(-.f64 (+.f64 (.f64 1/32 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) 1/16)
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 1/4 (/.f64 1 x))) (-.f64 (.f64 x 1/32) 1/16))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/4 (/.f64 1 x)) (-.f64 (.f64 x 1/32) 1/16)))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 2 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)))
(.f64 x (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (/.f64 1 x) (.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1 x) (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (+.f64 x x)))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 (+.f64 x x) (/.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(*.f64 (+.f64 x x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(.f64 (/.f64 1 x) (.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 1/2 (.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 1/2 x)))
(.f64 1/2 (.f64 (/.f64 1 x) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1 x))))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 1 x))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (.f64 x 4) (.f64 x (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x 4)))))
(.f64 x (.f64 4 (.f64 x (/.f64 1 (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))
(.f64 x (.f64 (.f64 x 4) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 4))))
(.f64 x (.f64 4 (*.f64 x (/.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 4 (.f64 (*.f64 x x) (/.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (/.f64 1/2 x) 4) (*.f64 x (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 x (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 4 (/.f64 1/2 x))))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x (*.f64 4 (/.f64 1/2 x))))
(.f64 (.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)
(*.f64 2 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/2)
(*.f64 1/2 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 2 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(.f64 (.f64 x (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x 4)))) (*.f64 x 4))
(.f64 x (.f64 4 (.f64 x (/.f64 1 (.f64 x (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))
(.f64 x (.f64 (.f64 x 4) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x 4))))
(.f64 x (.f64 4 (*.f64 x (/.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 4 (.f64 (*.f64 x x) (/.f64 (/.f64 1/4 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (*.f64 (/.f64 1/2 x) 4))
(.f64 x (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (*.f64 4 (/.f64 1/2 x))))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x (*.f64 4 (/.f64 1/2 x))))
(.f64 (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)) x)
(.f64 x (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 -1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)))
(.f64 x (.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 x (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 (+.f64 x x) (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (/.f64 1 x))
(.f64 (/.f64 1 x) (.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (+.f64 x x)))
(.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 (+.f64 x x) (/.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x))
(*.f64 (+.f64 x x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x))))
(.f64 (.f64 1/2 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 x))
(.f64 1/2 (.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 x)))
(.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 1/2 x)))
(.f64 1/2 (.f64 (/.f64 1 x) (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1 x))))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(.f64 2 (/.f64 (/.f64 1/2 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x))))
(*.f64 x (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (neg.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1/2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(+.f64 0 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 0)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 1 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (+.f64 x x)))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 -1 (neg.f64 (*.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 2 (.f64 2 (.f64 x (/.f64 (+.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 x 4))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4) (.f64 (+.f64 x x) (*.f64 x 4)))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (+.f64 x x))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (.f64 x (.f64 x 4)) (+.f64 x x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (*.f64 x 4) (/.f64 x (+.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (*.f64 x x) (/.f64 2 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x (.f64 (+.f64 x x) (/.f64 x x))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2) 4)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (-.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (-.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 x (neg.f64 x))) x)
(/.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (neg.f64 (+.f64 x x)))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) (.f64 x (*.f64 x 4)))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x (*.f64 x 4)))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/4 (*.f64 x x)))
(/.f64 (.f64 4 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (.f64 2 (*.f64 x 4)))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 2 (*.f64 x (-.f64 (neg.f64 x) x))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (-.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (-.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 x (neg.f64 x))) x)
(/.f64 (.f64 2 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (.f64 2 (neg.f64 (+.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (.f64 2 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x) 2)) 8)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x)) (neg.f64 x))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))) (neg.f64 (.f64 x (*.f64 x 4))))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x (*.f64 x 4)))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/4 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (neg.f64 x))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 4)) (.f64 2 (.f64 (+.f64 x x) (*.f64 x 4))))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))) (-.f64 (neg.f64 x) x))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 x (-.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (-.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 x (neg.f64 x))) x)
(/.f64 (/.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 2)) 4) (.f64 x x))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 x (*.f64 x 4)))
(.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/4 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 x x)) 1/2)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (neg.f64 (.f64 x 4)))
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 x x))) x)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) x)) 1)
(.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 x x)))

eval1.3s (11.2%)

Compiler: Compiled 26030 to 20862 computations (19.9% saved)

prune251.0ms (2.1%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	1097	8	1105
Fresh	4	4	8
Picked	0	1	1
Done	0	8	8
Total	1101	21	1122

Error

Counts

1122 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	40.1b	(/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 1/2 x) 2)) x)
✓	31.6b	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	27.9b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
▶	39.7b	(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
▶	40.4b	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
▶	0.1b	(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
▶	0.3b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
✓	28.1b	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
	5.5b	(/.f64 (.f64 2 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
✓	17.1b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	17.5b	(/.f64 x 2)
	0.3b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
✓	0.3b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
▶	17.7b	(/.f64 1 (/.f64 2 x))
	17.2b	(/.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
	31.7b	(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
✓	0.1b	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
	31.7b	(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	0.3b	(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1/2 x))))

Compiler

Compiled 495 to 390 computations (21.2% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
✓	0.1b	(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
✓	0.1b	(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
	0.1b	(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 77 to 63 computations (18.2% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
0.0ms	x	@	-inf	(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
0.0ms	x	@	inf	(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
0.0ms	x	@	-inf	(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
0.0ms	x	@	inf	(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`exponential.json-3`
1618×	`rational.json-1`
1618×	`rational.json-2`
1618×	`rational.json-4`
1618×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	141
1	113	141
2	377	135
3	1608	91
4	4998	91

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 2 (/.f64 -2 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (*.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (*.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (*.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (*.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (*.f64 (/.f64 1 (/.f64 -2 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (*.f64 1/2 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 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simplify382.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-2`
1196×	`rational.json-simplify-53`
796×	`rational.json-simplify-43`
680×	`rational.json-simplify-38`
666×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	3890
1	441	3254
2	942	3254
3	3296	3030
4	6216	3030

Stop Event

1×	node limit

Counts

96 → 129

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/4 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/4 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (+.f64 (.f64 1/4 x) (.f64 -7/128 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))
(pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) -1)
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) 1))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 (/.f64 -2 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)))
(.f64 (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) 1))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)) 1))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) 1))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (/.f64 1 (/.f64 -2 x)) (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 1/2 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))
(.f64 (/.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 0)
(+.f64 0 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 0)
(.f64 x (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 x (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 1 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 1)
(.f64 (.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) 1/2)
(.f64 (+.f64 x x) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) 1))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(.f64 1/2 (.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (+.f64 x x))
(pow.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 1)

Outputs
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 x) (+.f64 (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))) (*.f64 -5/128 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -5/128 (pow.f64 x 3))) (*.f64 -1/8 x)))
(+.f64 (+.f64 (.f64 -1/8 x) (.f64 1/16 (pow.f64 x 2))) (+.f64 1/2 (*.f64 -5/128 (pow.f64 x 3))))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -5/128 (pow.f64 x 4)))))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/4 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 x 1/4))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 (pow.f64 x 3) 5/64) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 x 1/4)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 3) 5/64)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 3)) (+.f64 (.f64 1/4 x) (.f64 -7/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 x 1/4) (+.f64 (.f64 (pow.f64 x 4) -7/128) (.f64 (pow.f64 x 3) 5/64))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 5/64) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 4) -7/128))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 3) 5/64)) (.f64 (pow.f64 x 4) -7/128)))
(+.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(.f64 1/2 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 x (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) 1))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 2 (/.f64 -2 x)) (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) (.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) 1))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (/.f64 1/2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (.f64 (.f64 x -1/2) (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (/.f64 1/2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (.f64 (.f64 x -1/2) (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)) 1))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (/.f64 1/2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
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(.f64 2 (.f64 (.f64 x -1/2) (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) 1))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
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(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (/.f64 1/2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
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(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 (/.f64 1 (/.f64 -2 x)) (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
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(.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (.f64 (.f64 x -1/2) (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (.f64 1/2 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 x x) (/.f64 (/.f64 1 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x))
(.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) 2))
(.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 x (.f64 2 (*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1))
(.f64 (+.f64 x x) (/.f64 (/.f64 1 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
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(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (*.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2)) (.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2)) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (/.f64 1/2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (.f64 (.f64 x -1/2) (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (/.f64 1/2 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 (.f64 x -1/2) (.f64 2 (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 2 (.f64 (.f64 x -1/2) (.f64 2 (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(.f64 (/.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 -2 x)))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 (/.f64 1 (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 2 (.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x))
(.f64 x (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))) 2))
(.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 2 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))))
(.f64 x (.f64 2 (*.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1/2 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 0)
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 0)
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 x (.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 x (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 1)
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2) 1/2)
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) 1))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 -1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 -1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/2 (.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) 2))) (+.f64 x x))
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) 1)
(/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 2 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 2 x))

rewrite641.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`rational.json-1`
1176×	`rational.json-2`
1176×	`rational.json-4`
1176×	`rational.json-3`
1170×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	61	7
2	159	7
3	335	7
4	745	7
5	3255	7

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(/.f64 1 (/.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (*.f64 x (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (*.f64 1/2 (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1 (*.f64 (/.f64 2 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 x x)) (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/4)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/8) (/.f64 (*.f64 x 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x x)) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (*.f64 x 1/4))) (/.f64 (*.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/4) (*.f64 2 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (/.f64 2 x) (*.f64 x 1/2))) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 4) x) (*.f64 x 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x (*.f64 x 1/4))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 4 (*.f64 x x))) (/.f64 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 2 (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.f64 -2 x)))))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational.json-simplify-35`
878×	`rational.json-simplify-39`
850×	`rational.json-simplify-43`
754×	`rational.json-simplify-51`
704×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	616
1	219	616
2	679	580
3	2992	568
4	6267	568

Stop Event

1×	node limit

Counts

70 → 65

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 x 1/2) 0)
(+.f64 0 (*.f64 x 1/2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) 2)))
(+.f64 (.f64 x 1/4) (.f64 x 1/4))
(-.f64 (*.f64 x 1/2) 0)
(-.f64 0 (/.f64 (neg.f64 x) 2))
(.f64 1 (.f64 x 1/2))
(.f64 2 (.f64 x 1/4))
(*.f64 x 1/2)
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(.f64 (.f64 x 1/2) 1)
(.f64 (.f64 x 1/2) (/.f64 x x))
(.f64 4 (/.f64 (.f64 x 1/2) 4))
(*.f64 4 (/.f64 x 8))
(*.f64 (+.f64 x x) 1/4)
(.f64 (/.f64 4 x) (.f64 1/2 (.f64 x (.f64 x 1/4))))
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(.f64 (.f64 x 4) 1/8)
(*.f64 1/2 x)
(*.f64 (neg.f64 x) -1/2)
(*.f64 -1 (/.f64 (neg.f64 x) 2))
(.f64 -1 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))))
(*.f64 -1 (/.f64 x -2))
(.f64 (/.f64 4 (.f64 x x)) (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 2 x))
(.f64 (.f64 x 8) 1/16)
(.f64 (/.f64 1 x) (.f64 x (*.f64 x 1/2)))
(*.f64 1/4 (+.f64 x x))
(*.f64 (/.f64 (neg.f64 x) 2) -1)
(.f64 (.f64 x -2) -1/4)
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 1 x))
(.f64 (.f64 x 1/8) (/.f64 (*.f64 x 4) x))
(.f64 (.f64 2 (/.f64 x x)) (*.f64 x 1/4))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (/.f64 (.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 1/8 (.f64 x 4))
(.f64 (.f64 x 1/4) 2)
(.f64 (.f64 x 1/4) (*.f64 2 (/.f64 x x)))
(*.f64 -1/2 (neg.f64 x))
(.f64 (+.f64 1 (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x 1/4))
(.f64 1/16 (.f64 x 8))
(.f64 -1/4 (.f64 x -2))
(.f64 (/.f64 (.f64 x 4) x) (*.f64 x 1/8))
(.f64 (/.f64 x x) (.f64 x 1/2))
(.f64 (/.f64 x (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 (*.f64 x x)))
(.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))) -1)
(*.f64 (/.f64 x -2) -1)
(.f64 (.f64 1/2 (.f64 x (.f64 x 1/4))) (/.f64 4 x))
(.f64 (/.f64 (.f64 x 1/2) 4) 4)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 x))
(.f64 (/.f64 1/2 (/.f64 4 (.f64 x x))) (/.f64 4 x))
(.f64 (/.f64 (.f64 x 1/2) (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 2 (.f64 x (*.f64 x 1/4))))
(*.f64 (/.f64 x 8) 4)
(pow.f64 (*.f64 x 1/2) 1)
(neg.f64 (/.f64 (neg.f64 x) 2))
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(neg.f64 (/.f64 x -2))
(neg.f64 (/.f64 1 (/.f64 -2 x)))

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 x 1/2) 0)
(*.f64 1/2 x)
(+.f64 0 (*.f64 x 1/2))
(*.f64 1/2 x)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) 2)))
(*.f64 1/2 x)
(+.f64 (.f64 x 1/4) (.f64 x 1/4))
(*.f64 1/2 x)
(-.f64 (*.f64 x 1/2) 0)
(*.f64 1/2 x)
(-.f64 0 (/.f64 (neg.f64 x) 2))
(*.f64 1/2 x)
(.f64 1 (.f64 x 1/2))
(*.f64 1/2 x)
(.f64 2 (.f64 x 1/4))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(.f64 (/.f64 2 x) (.f64 x (*.f64 x 1/4)))
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) 1)
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) (/.f64 x x))
(*.f64 1/2 x)
(.f64 4 (/.f64 (.f64 x 1/2) 4))
(*.f64 1/2 x)
(*.f64 4 (/.f64 x 8))
(*.f64 1/2 x)
(*.f64 (+.f64 x x) 1/4)
(*.f64 1/2 x)
(.f64 (/.f64 4 x) (.f64 1/2 (.f64 x (.f64 x 1/4))))
(*.f64 1/2 x)
(.f64 (/.f64 4 x) (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))))
(*.f64 1/2 x)
(.f64 (/.f64 4 x) (/.f64 1/2 (/.f64 4 (.f64 x x))))
(*.f64 1/2 x)
(.f64 (.f64 x 4) 1/8)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 (neg.f64 x) -1/2)
(*.f64 1/2 x)
(*.f64 -1 (/.f64 (neg.f64 x) 2))
(*.f64 1/2 x)
(.f64 -1 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))))
(*.f64 1/2 x)
(*.f64 -1 (/.f64 x -2))
(*.f64 1/2 x)
(.f64 (/.f64 4 (.f64 x x)) (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x))))
(*.f64 1/2 x)
(.f64 (.f64 x (*.f64 x 1/4)) (/.f64 2 x))
(*.f64 1/2 x)
(.f64 (.f64 x 8) 1/16)
(*.f64 1/2 x)
(.f64 (/.f64 1 x) (.f64 x (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 1/4 (+.f64 x x))
(*.f64 1/2 x)
(*.f64 (/.f64 (neg.f64 x) 2) -1)
(*.f64 1/2 x)
(.f64 (.f64 x -2) -1/4)
(*.f64 1/2 x)
(.f64 (.f64 x (*.f64 x 1/2)) (/.f64 1 x))
(*.f64 1/2 x)
(.f64 (.f64 x 1/8) (/.f64 (*.f64 x 4) x))
(*.f64 1/2 x)
(.f64 (.f64 2 (/.f64 x x)) (*.f64 x 1/4))
(*.f64 1/2 x)
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (/.f64 (.f64 x 1/2) (*.f64 (/.f64 2 x) (/.f64 4 x))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 1/2 (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 (*.f64 1/2 x) (/.f64 (/.f64 x 2) (/.f64 4 x))))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 (/.f64 16 x) x)))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 16 (*.f64 x x))))
(.f64 (/.f64 8 (.f64 x x)) (.f64 (.f64 x 1/16) (*.f64 x x)))
(.f64 1/8 (.f64 x 4))
(*.f64 1/2 x)
(.f64 (.f64 x 1/4) 2)
(*.f64 1/2 x)
(.f64 (.f64 x 1/4) (*.f64 2 (/.f64 x x)))
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(*.f64 1/2 x)
(.f64 (+.f64 1 (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x 1/4))
(.f64 x (.f64 1/4 (+.f64 1 (.f64 x (.f64 1/2 (/.f64 2 x))))))
(.f64 x (.f64 1/4 (+.f64 1 (/.f64 x x))))
(.f64 1/16 (.f64 x 8))
(*.f64 1/2 x)
(.f64 -1/4 (.f64 x -2))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 x 4) x) (*.f64 x 1/8))
(*.f64 1/2 x)
(.f64 (/.f64 x x) (.f64 x 1/2))
(*.f64 1/2 x)
(.f64 (/.f64 x (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 (*.f64 x x)))
(*.f64 1/2 x)
(.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (.f64 x x))) -1)
(*.f64 1/2 x)
(*.f64 (/.f64 x -2) -1)
(*.f64 1/2 x)
(.f64 (.f64 1/2 (.f64 x (.f64 x 1/4))) (/.f64 4 x))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 x 1/2) 4) 4)
(*.f64 1/2 x)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 4 x))
(*.f64 1/2 x)
(.f64 (/.f64 1/2 (/.f64 4 (.f64 x x))) (/.f64 4 x))
(*.f64 1/2 x)
(.f64 (/.f64 (.f64 x 1/2) (.f64 (/.f64 2 x) (/.f64 4 x))) (/.f64 2 (.f64 x (*.f64 x 1/4))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 1/2 (/.f64 x (*.f64 (/.f64 2 x) (/.f64 4 x)))))
(.f64 (/.f64 2 (.f64 x (.f64 x 1/4))) (.f64 (*.f64 1/2 x) (/.f64 (/.f64 x 2) (/.f64 4 x))))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 (/.f64 16 x) x)))
(.f64 (/.f64 8 (.f64 x x)) (/.f64 x (/.f64 16 (*.f64 x x))))
(.f64 (/.f64 8 (.f64 x x)) (.f64 (.f64 x 1/16) (*.f64 x x)))
(*.f64 (/.f64 x 8) 4)
(*.f64 1/2 x)
(pow.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(neg.f64 (/.f64 (neg.f64 x) 2))
(*.f64 1/2 x)
(neg.f64 (/.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(*.f64 1/2 x)
(neg.f64 (/.f64 x -2))
(*.f64 1/2 x)
(neg.f64 (/.f64 1 (/.f64 -2 x)))
(*.f64 1/2 x)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (+.f64 1/2 (/.f64 2 x)))
✓	22.5b	(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (+.f64 1/2 (/.f64 2 x)))
0.0ms	x	@	0	(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
0.0ms	x	@	inf	(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
0.0ms	x	@	0	(/.f64 x (+.f64 1/2 (/.f64 2 x)))
0.0ms	x	@	inf	(/.f64 x (+.f64 1/2 (/.f64 2 x)))

rewrite646.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`rational.json-1`
1708×	`rational.json-2`
1708×	`rational.json-4`
1708×	`rational.json-3`
1690×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	69	44
2	212	38
3	710	38
4	2115	38
5	5878	38

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
(/.f64 x (+.f64 1/2 (/.f64 2 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 x (+.f64 1 (/.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 x (+.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 (/.f64 (/.f64 1 x) x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 (+.f64 1/2 (/.f64 2 x)) 4))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 4)) (*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (neg.f64 x) (+.f64 1 (/.f64 4 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) (/.f64 x (+.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (+.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (+.f64 1 (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x (*.f64 x (+.f64 1 (/.f64 4 x)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x 4) (/.f64 2 (+.f64 1 (/.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (*.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (/.f64 2 (+.f64 1 (/.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 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(+.f64 1/2 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x (*.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x (*.f64 (+.f64 1/2 (/.f64 2 x)) (neg.f64 x))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x (neg.f64 (*.f64 x (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (neg.f64 x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (+.f64 1/2 (/.f64 2 x)))) (*.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) 4) (*.f64 (/.f64 1 (*.f64 x 4)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) (*.f64 (/.f64 1 (*.f64 x (*.f64 (+.f64 1/2 (/.f64 2 x)) 4))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) -2) (*.f64 (/.f64 -1 x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 (/.f64 1 (*.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 (/.f64 2 (*.f64 (neg.f64 x) (+.f64 1 (/.f64 4 x)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (+.f64 1 (/.f64 4 x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 (+.f64 1 (/.f64 4 x)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))))))

simplify366.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1642×	`rational.json-simplify-35`
1300×	`rational.json-simplify-53`
1190×	`rational.json-simplify-2`
1062×	`exponential.json-simplify-26`
968×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	4583
1	633	4547
2	1570	3533
3	3198	3477
4	6567	3477

Stop Event

1×	node limit

Counts

147 → 205

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 4)) (.f64 -1/128 (pow.f64 x 5)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 8)
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) 8)
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) (+.f64 8 (*.f64 128 (/.f64 1 (pow.f64 x 2)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 8)
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) 8)
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) (+.f64 8 (*.f64 128 (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (/.f64 2 (+.f64 1 (/.f64 4 x))))
(+.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 0)
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)))
(-.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 0)
(*.f64 x (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))))
(*.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 2 x))))
(*.f64 2 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)))
(.f64 2 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 2 x) (/.f64 x (+.f64 1 (/.f64 4 x))))
(*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (/.f64 1 x))
(*.f64 1 (/.f64 2 (+.f64 1 (/.f64 4 x))))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (/.f64 1/2 x))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 1/2 (/.f64 1 x)))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (.f64 (/.f64 (/.f64 1 x) x) (.f64 x 1/2)))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 2 x))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x) (*.f64 x 1/2)))
(.f64 (.f64 x 4) (/.f64 1 (.f64 x (.f64 (+.f64 1/2 (/.f64 2 x)) 4))))
(*.f64 (/.f64 2 (+.f64 1/2 (/.f64 2 x))) 1/2)
(.f64 (/.f64 2 (+.f64 1/2 (/.f64 2 x))) (.f64 (/.f64 1 x) (*.f64 x 1/2)))
(.f64 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4) (/.f64 1 (*.f64 x 4)))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 1)
(*.f64 (/.f64 1 x) (/.f64 x (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))))
(.f64 (neg.f64 x) (/.f64 2 (.f64 (neg.f64 x) (+.f64 1 (/.f64 4 x)))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 x (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))) (/.f64 -1 x))
(.f64 -1 (/.f64 x (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))))
(.f64 -1 (/.f64 x (.f64 (+.f64 1/2 (/.f64 2 x)) (neg.f64 x))))
(.f64 -1 (/.f64 x (neg.f64 (.f64 x (+.f64 1/2 (/.f64 2 x))))))
(*.f64 -1 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (neg.f64 x)))
(.f64 (/.f64 1/2 x) (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))
(*.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) 2)
(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2))
(.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x))
(.f64 (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))) 2)
(.f64 (/.f64 x (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) -1)
(.f64 (/.f64 x (.f64 (+.f64 1/2 (/.f64 2 x)) (neg.f64 x))) -1)
(.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 1/2 (/.f64 2 x))))) -1)
(*.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) 2)
(.f64 (/.f64 1 (.f64 x (.f64 (+.f64 1/2 (/.f64 2 x)) 4))) (.f64 x 4))
(.f64 (/.f64 1 (.f64 x 4)) (*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4))
(.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (neg.f64 x))
(.f64 (/.f64 2 (.f64 (neg.f64 x) (+.f64 1 (/.f64 4 x)))) (neg.f64 x))
(.f64 (/.f64 -1 (.f64 x (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x))
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))
(pow.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 1)
(neg.f64 (/.f64 x (*.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))))
(neg.f64 (/.f64 x (*.f64 (+.f64 1/2 (/.f64 2 x)) (neg.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 x (+.f64 1/2 (/.f64 2 x))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (neg.f64 x)))
(+.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 0)
(+.f64 0 (/.f64 x (+.f64 1/2 (/.f64 2 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) (/.f64 x (+.f64 1 (/.f64 4 x))))
(-.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 0)
(-.f64 0 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))
(*.f64 x (/.f64 2 (+.f64 1 (/.f64 4 x))))
(.f64 1/2 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))))
(*.f64 2 (/.f64 x (+.f64 1 (/.f64 4 x))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 2))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) x))
(.f64 (/.f64 2 x) (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))
(*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 1 (/.f64 x (+.f64 1/2 (/.f64 2 x))))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) 1/2)
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (.f64 (/.f64 1 x) (.f64 x 1/2)))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(.f64 (+.f64 x x) (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (+.f64 1 (/.f64 4 x)))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) (*.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))) (.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 x 4) (/.f64 2 (+.f64 1 (/.f64 4 x)))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1/2 (/.f64 2 x)) 4)))
(.f64 (.f64 x 4) (.f64 (/.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x 1/2)))
(.f64 (.f64 x 4) (.f64 (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 2 (+.f64 1 (/.f64 4 x)))))
(.f64 (/.f64 2 (+.f64 1/2 (/.f64 2 x))) (.f64 x 1/2))
(.f64 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4) 1/4)
(.f64 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4) (.f64 (/.f64 1/2 x) (.f64 x 1/2)))
(.f64 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4) (.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 x 1/2)))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) x)
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 1/2 (/.f64 2 x)))))
(.f64 (/.f64 1 x) (.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x x))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))) -1)
(*.f64 -1 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))
(.f64 -2 (.f64 (/.f64 x (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 x (.f64 (+.f64 1/2 (/.f64 2 x)) (neg.f64 x))) (.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (neg.f64 x)) (*.f64 x 1/2)))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1/2 (/.f64 2 x))))
(.f64 (.f64 2 (/.f64 2 (+.f64 1/2 (/.f64 2 x)))) (.f64 1/2 (.f64 x 1/2)))
(.f64 (.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) 4) (.f64 (/.f64 1 (.f64 x 4)) (.f64 x 1/2)))
(.f64 (.f64 (+.f64 x x) 4) (.f64 (/.f64 1 (.f64 x (.f64 (+.f64 1/2 (/.f64 2 x)) 4))) (.f64 x 1/2)))
(.f64 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) -2) (.f64 (/.f64 -1 x) (.f64 x 1/2)))
(.f64 (.f64 x -2) (.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))
(.f64 (.f64 x -2) (.f64 (/.f64 2 (.f64 (neg.f64 x) (+.f64 1 (/.f64 4 x)))) (*.f64 x 1/2)))
(.f64 (.f64 x -2) (.f64 (/.f64 -1 (.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))
(*.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))
(*.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) 2)
(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (.f64 x (.f64 x 1/2)))
(.f64 (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))) (+.f64 x x))
(.f64 (.f64 x (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (/.f64 1 x))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))))
(.f64 (.f64 1/2 (/.f64 2 (+.f64 1 (/.f64 4 x)))) (+.f64 x x))
(*.f64 (/.f64 -1 (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) 4)) (*.f64 x 4))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4))
(pow.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 1)
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 -1/128 (pow.f64 x 4)) (.f64 1/2 x))))
(+.f64 (+.f64 (.f64 -1/128 (pow.f64 x 4)) (.f64 1/2 x)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 -1/128 (pow.f64 x 4)) (.f64 1/2 x)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/32 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/32 (pow.f64 x 3)) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 8 (/.f64 1 x))))
(+.f64 (-.f64 2 (.f64 8 (/.f64 1 x))) (.f64 32 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (.f64 8 (/.f64 1 x))))
(+.f64 (-.f64 2 (.f64 8 (/.f64 1 x))) (.f64 32 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (-.f64 2 (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(+.f64 2 (-.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3))))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 4)) (.f64 -1/128 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/32 (pow.f64 x 4)) (.f64 -1/128 (pow.f64 x 5))) (.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/32 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/128 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/32 (pow.f64 x 4)) (.f64 -1/128 (pow.f64 x 5)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(-.f64 (*.f64 2 x) 8)
(-.f64 (*.f64 x 2) 8)
(-.f64 (+.f64 x x) 8)
(+.f64 x (-.f64 x 8))
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) 8)
(+.f64 (.f64 (/.f64 1 x) 32) (-.f64 (.f64 x 2) 8))
(+.f64 (.f64 x 2) (-.f64 (.f64 (/.f64 1 x) 32) 8))
(+.f64 (-.f64 (+.f64 x x) 8) (*.f64 (/.f64 1 x) 32))
(+.f64 (+.f64 x (-.f64 x 8)) (*.f64 (/.f64 1 x) 32))
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) (+.f64 8 (*.f64 128 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) 32)) (+.f64 8 (*.f64 (/.f64 1 (pow.f64 x 2)) 128)))
(+.f64 (.f64 x 2) (-.f64 (.f64 (/.f64 1 x) 32) (+.f64 8 (*.f64 (/.f64 1 (pow.f64 x 2)) 128))))
(+.f64 (+.f64 x x) (-.f64 (.f64 (/.f64 1 x) 32) (+.f64 8 (.f64 (/.f64 1 (pow.f64 x 2)) 128))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(-.f64 (*.f64 2 x) 8)
(-.f64 (*.f64 x 2) 8)
(-.f64 (+.f64 x x) 8)
(+.f64 x (-.f64 x 8))
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) 8)
(+.f64 (.f64 (/.f64 1 x) 32) (-.f64 (.f64 x 2) 8))
(+.f64 (.f64 x 2) (-.f64 (.f64 (/.f64 1 x) 32) 8))
(+.f64 (-.f64 (+.f64 x x) 8) (*.f64 (/.f64 1 x) 32))
(+.f64 (+.f64 x (-.f64 x 8)) (*.f64 (/.f64 1 x) 32))
(-.f64 (+.f64 (.f64 2 x) (.f64 32 (/.f64 1 x))) (+.f64 8 (*.f64 128 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) 32)) (+.f64 8 (*.f64 (/.f64 1 (pow.f64 x 2)) 128)))
(+.f64 (.f64 x 2) (-.f64 (.f64 (/.f64 1 x) 32) (+.f64 8 (*.f64 (/.f64 1 (pow.f64 x 2)) 128))))
(+.f64 (+.f64 x x) (-.f64 (.f64 (/.f64 1 x) 32) (+.f64 8 (.f64 (/.f64 1 (pow.f64 x 2)) 128))))
(+.f64 0 (/.f64 2 (+.f64 1 (/.f64 4 x))))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(+.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 0)
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)) (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(-.f64 (/.f64 2 (+.f64 1 (/.f64 4 x))) 0)
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(*.f64 x (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1/2 (/.f64 2 (+.f64 1/2 (/.f64 2 x))))
(*.f64 2 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(.f64 2 (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) x))
(*.f64 2 (/.f64 1 (+.f64 1 (/.f64 4 x))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (+.f64 x x)))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(.f64 2 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/2)))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 2 x) (/.f64 x (+.f64 1 (/.f64 4 x))))
(*.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) (/.f64 1 x))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1 (/.f64 2 (+.f64 1 (/.f64 4 x))))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 2 (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (.f64 (/.f64 (/.f64 1 x) x) (.f64 x 1/2)))
(+.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
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(*.f64 (+.f64 x x) (/.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) x))
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(.f64 x (.f64 (*.f64 x 4) (/.f64 (/.f64 1/4 x) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (/.f64 (/.f64 1/4 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x (*.f64 x 4)))
(.f64 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) -2) (.f64 (/.f64 -1 x) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 x -2) (.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 x -2) (.f64 (/.f64 2 (.f64 (neg.f64 x) (+.f64 1 (/.f64 4 x)))) (*.f64 x 1/2)))
(.f64 (/.f64 2 (.f64 (+.f64 1 (/.f64 4 x)) (neg.f64 x))) (.f64 (.f64 1/2 x) (*.f64 x -2)))
(.f64 (.f64 1/2 x) (.f64 (.f64 x -2) (/.f64 (/.f64 2 (neg.f64 x)) (+.f64 1 (/.f64 4 x)))))
(.f64 (.f64 1/2 x) (.f64 (/.f64 (/.f64 -2 x) (+.f64 1 (/.f64 4 x))) (.f64 x -2)))
(.f64 x (.f64 (neg.f64 x) (/.f64 (/.f64 2 x) (-.f64 -1 (/.f64 4 x)))))
(.f64 x (.f64 x (neg.f64 (/.f64 (/.f64 2 x) (-.f64 -1 (/.f64 4 x))))))
(.f64 (.f64 x -2) (.f64 (/.f64 -1 (.f64 x (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) 2)
(*.f64 2 (/.f64 x (+.f64 1 (/.f64 4 x))))
(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x)))) (.f64 x (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(.f64 (/.f64 x (.f64 x (+.f64 1 (/.f64 4 x)))) (+.f64 x x))
(+.f64 (/.f64 x (+.f64 1 (/.f64 4 x))) (/.f64 x (+.f64 1 (/.f64 4 x))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 1 (/.f64 4 x))))
(.f64 4 (.f64 1/2 (/.f64 x (+.f64 1 (/.f64 4 x)))))
(.f64 (.f64 x (/.f64 x (+.f64 1/2 (/.f64 2 x)))) (/.f64 1 x))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(.f64 (.f64 1/2 (/.f64 2 (+.f64 1 (/.f64 4 x)))) (+.f64 x x))
(*.f64 x (/.f64 2 (+.f64 1 (/.f64 4 x))))
(/.f64 x (/.f64 (-.f64 -1 (/.f64 4 x)) -2))
(*.f64 (/.f64 -1 (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 2) 2)
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(.f64 (/.f64 1 (.f64 (+.f64 1/2 (/.f64 2 x)) 4)) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 4 (+.f64 1/2 (/.f64 2 x)))))
(.f64 x (.f64 4 (/.f64 1/4 (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 x 4) (/.f64 1/4 (+.f64 1/2 (/.f64 2 x))))
(.f64 4 (/.f64 x (.f64 4 (+.f64 1/2 (/.f64 2 x)))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 4))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 x (+.f64 1/2 (/.f64 2 x)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1/2 (/.f64 2 x))))
(/.f64 x (+.f64 1/2 (/.f64 2 x)))

localize87.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x -1/8) (/.f64 2 x))
✓	0.1b	(/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))))
✓	22.5b	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)

Compiler

Compiled 51 to 37 computations (27.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (*.f64 x -1/8) (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
0.0ms	x	@	0	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
0.0ms	x	@	inf	(+.f64 (*.f64 x -1/8) (/.f64 2 x))
0.0ms	x	@	-inf	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)

rewrite239.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`rational.json-1`
1702×	`rational.json-2`
1702×	`rational.json-4`
1702×	`rational.json-3`
1296×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	91	87
2	256	81
3	833	81
4	2501	81
5	6383	81

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
(/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))))
(+.f64 (*.f64 x -1/8) (/.f64 2 x))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 1/2) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (/.f64 (*.f64 x 1/2) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))))) 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x))))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/2) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)))))

simplify188.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational.json-simplify-35`
1302×	`rational.json-simplify-53`
1244×	`rational.json-simplify-2`
1166×	`rational.json-simplify-41`
992×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	308	5634
1	734	5634
2	1762	5634
3	3527	5628
4	7585	5490

Stop Event

1×	node limit

Counts

174 → 201

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -3/128 (pow.f64 x 5)))))
-8
(neg.f64 (+.f64 8 (*.f64 32 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 2))) (+.f64 8 (.f64 32 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 3))) (+.f64 8 (*.f64 32 (/.f64 1 x))))))
-8
(neg.f64 (+.f64 8 (*.f64 32 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 2))) (+.f64 8 (.f64 32 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 3))) (+.f64 8 (*.f64 32 (/.f64 1 x))))))
(/.f64 2 x)
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/8 x)
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/8 x)
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (.f64 2 (/.f64 1 x)))
(+.f64 0 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 0)
(+.f64 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x)) (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x)))
(-.f64 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 0)
(.f64 x (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 1/2 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 2 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 2 (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))))
(.f64 2 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x)))
(.f64 2 (.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 2 (.f64 (/.f64 1/2 x) (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (/.f64 2 x) (.f64 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (/.f64 1 x))
(.f64 1 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 x (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (/.f64 1/2 x))
(.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 1/2 (/.f64 1 x)))
(.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 (/.f64 (/.f64 1 x) x) (*.f64 x 1/2)))
(.f64 (+.f64 x x) (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x) (.f64 x 1/2)))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (*.f64 x 4))))
(.f64 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1/2)
(.f64 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 (/.f64 1 x) (.f64 x 1/2)))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) (/.f64 1 (.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)
(.f64 (/.f64 1 x) (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 x (neg.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (/.f64 -1 x))
(.f64 -1 (/.f64 x (.f64 x (neg.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))
(.f64 -1 (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))))
(.f64 -1 (/.f64 x (neg.f64 (.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))
(.f64 -1 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x)))
(.f64 (/.f64 1/2 x) (.f64 x (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x))
(.f64 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2)
(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2))
(.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (+.f64 x x))
(.f64 (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))) 2)
(.f64 (/.f64 x (.f64 x (neg.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) -1)
(.f64 (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))) -1)
(.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) -1)
(.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x)) -1)
(.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x)) 2)
(.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (.f64 x 4))) (*.f64 x 4))
(.f64 (/.f64 1 (.f64 x 4)) (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4))
(.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (neg.f64 x))
(.f64 (/.f64 1 (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))) (neg.f64 x))
(.f64 (/.f64 -1 (.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (neg.f64 x))
(pow.f64 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)
(neg.f64 (/.f64 x (.f64 x (neg.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))
(neg.f64 (/.f64 x (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))))
(neg.f64 (/.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x)))
(+.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(+.f64 (/.f64 (.f64 x 1/2) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (/.f64 (.f64 x 1/2) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(-.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 0)
(-.f64 0 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 x (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 2 (/.f64 (.f64 x 1/2) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 2 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2))
(.f64 2 (.f64 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 2 (.f64 (.f64 x 1/2) (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 2 (.f64 (/.f64 1/2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x))
(.f64 (/.f64 2 x) (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)
(.f64 1 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 x (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) 1/2)
(.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 (/.f64 1 x) (*.f64 x 1/2)))
(.f64 (+.f64 x x) (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (+.f64 x x) (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x)) (.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 x (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))) (*.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 x 4) (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) 4)))
(.f64 (.f64 x 4) (.f64 1/4 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (.f64 x 4) (.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))
(.f64 (.f64 x 4) (.f64 (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2)))
(.f64 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2))
(.f64 (.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) 1/4)
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) (.f64 (/.f64 1/2 x) (*.f64 x 1/2)))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) (.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 1/2)))
(.f64 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 (/.f64 1 x) (.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x x))
(.f64 (neg.f64 x) (/.f64 -1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 -2 (.f64 (/.f64 x (.f64 x (neg.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (*.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 x (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))) (*.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (*.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x)) (.f64 x 1/2)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) -1)
(.f64 -1 (/.f64 (neg.f64 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 x -2) (.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (.f64 x 1/2)))
(.f64 (.f64 x -2) (.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))) (.f64 x 1/2)))
(.f64 (.f64 x -2) (.f64 (/.f64 -1 (.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2)))
(.f64 (.f64 2 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 1/2 (*.f64 x 1/2)))
(.f64 (.f64 2 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4)) (.f64 (/.f64 1 (.f64 x 4)) (*.f64 x 1/2)))
(.f64 (.f64 2 (.f64 x 4)) (.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (.f64 x 4))) (.f64 x 1/2)))
(.f64 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) -2) (.f64 (/.f64 -1 x) (*.f64 x 1/2)))
(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x (*.f64 x 1/2)))
(.f64 (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))) (+.f64 x x))
(.f64 (.f64 x (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (/.f64 1 x))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 (.f64 1/2 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (+.f64 x x))
(.f64 (/.f64 -1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x))
(.f64 (/.f64 (.f64 x 1/2) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2)
(.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2) 2)
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) 4)) (.f64 x 4))
(.f64 1/4 (.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4))
(pow.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(-.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 0)
(.f64 1/2 (.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))))
(.f64 2 (/.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 2))
(.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 1)
(.f64 1 (+.f64 (.f64 x -1/8) (/.f64 2 x)))
(.f64 (.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))) 1/2)
(.f64 (/.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 2) 2)
(/.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 x -1/8) (/.f64 2 x))) 2)
(/.f64 (.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 4))) 16)
(pow.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -3/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -3/128 (pow.f64 x 4))) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x)) (.f64 -3/128 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 -3/128 (pow.f64 x 4))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 256 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))) (.f64 1536 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x)))) (.f64 1536 (/.f64 1 (pow.f64 x 4)))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 8 (/.f64 1 x)) (.f64 256 (/.f64 1 (pow.f64 x 3)))) (.f64 1536 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 x)) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 1536 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 256 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 x)) (.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 x))) (.f64 1536 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (.f64 8 (/.f64 1 x)))) (.f64 1536 (/.f64 1 (pow.f64 x 4)))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 8 (/.f64 1 x)) (.f64 256 (/.f64 1 (pow.f64 x 3)))) (.f64 1536 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 x)) (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 2))) (.f64 1536 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (*.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -3/128 (pow.f64 x 5)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -3/128 (pow.f64 x 5)) (.f64 1/16 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -3/128 (pow.f64 x 5))) (.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 -3/128 (pow.f64 x 5)))))
-8
(neg.f64 (+.f64 8 (*.f64 32 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 2))) (+.f64 8 (.f64 32 (/.f64 1 x)))))
(neg.f64 (+.f64 8 (+.f64 (.f64 32 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 2)) 256))))
(neg.f64 (+.f64 (+.f64 8 (.f64 32 (/.f64 1 x))) (.f64 (/.f64 1 (pow.f64 x 2)) 256)))
(neg.f64 (+.f64 (.f64 256 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1536 (/.f64 1 (pow.f64 x 3))) (+.f64 8 (*.f64 32 (/.f64 1 x))))))
(neg.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) 256) (+.f64 (+.f64 8 (.f64 32 (/.f64 1 x))) (*.f64 (/.f64 1 (pow.f64 x 3)) 1536))))
(neg.f64 (+.f64 (+.f64 8 (.f64 32 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) 256) (*.f64 (/.f64 1 (pow.f64 x 3)) 1536))))
(neg.f64 (+.f64 (.f64 32 (/.f64 1 x)) (+.f64 (+.f64 8 (.f64 (/.f64 1 (pow.f64 x 3)) 1536)) (*.f64 (/.f64 1 (pow.f64 x 2)) 256))))
(neg.f64 (+.f64 8 (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) 256) (+.f64 (.f64 32 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1536)))))
-8
(neg.f64 (+.f64 8 (*.f64 32 (/.f64 1 x))))
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(.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 1 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) 1/2)
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 1/2 x))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 (/.f64 1 x) (*.f64 x 1/2)))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 1/2 x))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (+.f64 x x) (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (+.f64 x x) (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 4 (.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x)) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 4 (.f64 (/.f64 x (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 4 (.f64 (/.f64 x 4) (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(.f64 4 (.f64 (/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8)))) (/.f64 x 4)))
(.f64 (/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 (/.f64 x 4) 4))
(.f64 4 (/.f64 (/.f64 x 4) (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))))
(.f64 (.f64 x 4) (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) 4)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x 4) (.f64 1/4 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x 4) (.f64 (/.f64 (/.f64 1/2 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x 4) (.f64 (.f64 1/2 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x 1/2))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 1/2 x))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) 1/4)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) (.f64 (/.f64 1/2 x) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4) (.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 1 x) (.f64 x (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 1 x) (.f64 (.f64 x (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (*.f64 x 1/2)))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 1/2 x))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (*.f64 x x))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (neg.f64 x) (/.f64 -1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 -2 (.f64 (/.f64 x (.f64 x (neg.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 -2 (.f64 (/.f64 x (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 -2 (.f64 (/.f64 x (neg.f64 (.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 -2 (.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x)) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 (neg.f64 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) -1)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 -1 (/.f64 (neg.f64 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 1/2 x))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (.f64 x -2) (.f64 (/.f64 1 (.f64 x (neg.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x -2) (.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (neg.f64 x))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x -2) (.f64 (/.f64 -1 (.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 2 (/.f64 2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 1/2 (*.f64 x 1/2)))
(.f64 x (.f64 1/2 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (*.f64 1/2 x))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))))
(.f64 (.f64 2 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4)) (.f64 (/.f64 1 (.f64 x 4)) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 2 (.f64 x 4)) (.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (.f64 x 4))) (.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (+.f64 x x))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) -2) (.f64 (/.f64 -1 x) (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 2 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (.f64 x (*.f64 x 1/2)))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 x (.f64 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) (+.f64 x x))) (+.f64 x x))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (/.f64 1 x))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (.f64 1/2 (/.f64 1 (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))))) (+.f64 x x))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 -1 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) (neg.f64 x))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 (.f64 x 1/2) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 (/.f64 x (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 2) 2)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x))) 4)) (.f64 x 4))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(.f64 1/4 (.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 4))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(pow.f64 (/.f64 x (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) 1)
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))))
(/.f64 x (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(-.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 0)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(.f64 1/2 (.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(.f64 2 (/.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 2))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(.f64 1 (+.f64 (.f64 x -1/8) (/.f64 2 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(.f64 (.f64 2 (+.f64 (*.f64 x -1/8) (/.f64 2 x))) 1/2)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(.f64 (/.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 2) 2)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(/.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(/.f64 (.f64 2 (+.f64 (.f64 x -1/8) (/.f64 2 x))) 2)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(/.f64 (.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 4) 4)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 4)) 8)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 4)) (.f64 2 (.f64 (+.f64 (.f64 x -1/8) (/.f64 2 x)) 4))) 16)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))
(pow.f64 (+.f64 (*.f64 x -1/8) (/.f64 2 x)) 1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/8))
(+.f64 (.f64 x -1/8) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (*.f64 x -1/8))

localize86.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.1b	(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
✓	0.2b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))

Compiler

Compiled 40 to 32 computations (20% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
1.0ms	x	@	-inf	(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	x	@	inf	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
0.0ms	x	@	-inf	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
0.0ms	x	@	0	(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`rational.json-1`
1174×	`exponential.json-3`
1174×	`rational.json-2`
1174×	`rational.json-4`
1174×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	102	46
2	301	46
3	945	46
4	3489	46
5	7650	46

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x 4) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -1/2 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 (*.f64 x 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) (/.f64 1 (*.f64 (/.f64 2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) (*.f64 1/4 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 x -2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) (*.f64 1/8 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 -1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (*.f64 -1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/2) 1/2) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 x) 4)) (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -2 x)) (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 -1/2 (/.f64 -2 x))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))))))

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-35`
1270×	`rational.json-simplify-2`
1182×	`rational.json-simplify-46`
992×	`rational.json-simplify-55`
852×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2004
1	380	1992
2	875	1992
3	2487	1992
4	5730	1986
5	7896	1986

Stop Event

1×	node limit

Counts

80 → 112

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1/4 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 -1/4 x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/4 x) (*.f64 -5/64 (pow.f64 x 3)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(.f64 2 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 4 x)))
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(.f64 2 (.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(*.f64 -1 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 x 1/2)))
(.f64 4 (.f64 (/.f64 x 4) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -1/2 (/.f64 -2 x)))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (*.f64 x 1/2) 1/2))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/4))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2)
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) (/.f64 1 (*.f64 (/.f64 2 x) 4)))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) (.f64 1/4 (.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -2) (*.f64 x 1/2)))
(.f64 -2 (.f64 (/.f64 x -2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (/.f64 -2 x)))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x)
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(*.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (.f64 x -2) (*.f64 -1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 -1/2 (*.f64 x 1/2)))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))
(.f64 (.f64 (*.f64 x 1/2) 1/2) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 2)
(*.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)) -1)
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -1)
(*.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 4 x)) 2)
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 x 4))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 2 x) 4)) (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(*.f64 (/.f64 1 (/.f64 -2 x)) (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 -1/2 (/.f64 -2 x))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(+.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(-.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(-.f64 0 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -2))
(*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 1 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(*.f64 -1 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 1/4)
(*.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -1)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2)
(*.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 1/4 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(pow.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(neg.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -5/128 (pow.f64 x 4)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/2 x))))
1
(+.f64 1 (*.f64 -1/4 x))
(+.f64 1 (*.f64 x -1/4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (.f64 -1/4 x)))
(+.f64 1 (+.f64 (.f64 x -1/4) (.f64 (pow.f64 x 2) 1/8)))
(+.f64 (.f64 x -1/4) (+.f64 (.f64 (pow.f64 x 2) 1/8) 1))
(+.f64 (.f64 x -1/4) (+.f64 1 (.f64 (pow.f64 x 2) 1/8)))
(+.f64 (+.f64 1 (.f64 x -1/4)) (.f64 (pow.f64 x 2) 1/8))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -1/4 x) (*.f64 -5/64 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (.f64 x -1/4) (.f64 (pow.f64 x 3) -5/64)) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 (.f64 x -1/4) (*.f64 (pow.f64 x 3) -5/64))))
(+.f64 (.f64 x -1/4) (+.f64 (.f64 (pow.f64 x 2) 1/8) (+.f64 1 (*.f64 (pow.f64 x 3) -5/64))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 4 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 x (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 2 (.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (*.f64 x 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 4 (.f64 (/.f64 x 4) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x x) (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -1/2 (/.f64 -2 x)))
(*.f64 (/.f64 x 4) (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x 4) (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 (*.f64 x 1/2) 1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (.f64 x 1/4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)))
(.f64 x (.f64 4 (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(.f64 (.f64 x 4) (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x 4) (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 x (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) (/.f64 1 (*.f64 (/.f64 2 x) 4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) (.f64 1/4 (.f64 x 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -2 (.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -2) (*.f64 x 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 -2 (.f64 (/.f64 x -2) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(.f64 (/.f64 x -2) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -2))
(.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 (/.f64 x -2) -2))
(.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (.f64 -2 (/.f64 x -2)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 -2 (/.f64 x -2)))
(*.f64 -2 (/.f64 (/.f64 x -2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (/.f64 -2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x 1/2) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 1/2 (.f64 x (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (/.f64 x 4) (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x 4) (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x -2) (*.f64 -1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (neg.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) (.f64 -1/2 (*.f64 x 1/2)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 x x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (*.f64 x 1/2) 1/2) (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 x (.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 4 x)) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 (-.f64 x -1))) 4)) (*.f64 x 4))
(.f64 x (.f64 4 (/.f64 1 (*.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(.f64 (.f64 x 4) (/.f64 1/4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 x 4) (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 4 (.f64 x (/.f64 -1/4 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (.f64 (/.f64 2 x) 4)) (*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (/.f64 -2 x)) (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (/.f64 -1/2 (/.f64 -2 x)) (/.f64 -1/2 (/.f64 -2 x))) (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 -2 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (-.f64 1 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1))))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -2))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2)
(*.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 1/4)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) -1)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 2)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1/2 (/.f64 4 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(.f64 1/4 (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 -2 (+.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval1.7s (14.6%)

Compiler: Compiled 20961 to 17040 computations (18.7% saved)

prune197.0ms (1.7%)

Pruning

27 alts after pruning (13 fresh and 14 done)

	Pruned	Kept	Total
New	922	7	929
Fresh	1	6	7
Picked	0	1	1
Done	0	13	13
Total	923	27	950

Error

Counts

950 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	40.1b	(/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 1/2 x) 2)) x)
✓	31.6b	(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	27.9b	(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
✓	39.7b	(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
✓	40.4b	(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
✓	0.1b	(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
✓	0.3b	(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
✓	28.1b	(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
	40.1b	(/.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x x)) x)
	5.5b	(/.f64 (.f64 2 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
✓	17.1b	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	17.5b	(/.f64 x 2)
	17.2b	(/.f64 2 (+.f64 1 (/.f64 4 x)))
	0.3b	(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
✓	0.3b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
✓	17.7b	(/.f64 1 (/.f64 2 x))
	18.0b	(/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
	17.8b	(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
	31.7b	(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
✓	0.1b	(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
	31.7b	(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
	17.5b	(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x) (*.f64 x 1/2)))
	0.3b	(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1/2 x))))
	42.4b	(.f64 x (.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (.f64 1/2 x))))
	61.0b	2

Compiler

Compiled 390 to 302 computations (22.6% saved)

regimes46.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
(/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(/.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x x)) x)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x) (*.f64 x 1/2)))
(.f64 x (.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (.f64 1/2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 x))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1/2 x))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 x x))))) x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 2 (.f64 2 (sqrt.f64 (+.f64 x 1)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (*.f64 1/2 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) -1/2))))))
(/.f64 (.f64 2 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))

Outputs
(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))

Calls

2 calls:

17.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
16.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 554 to 416 computations (24.9% saved)

regimes39.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
(/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(/.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x x)) x)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x) (*.f64 x 1/2)))
(.f64 x (.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (.f64 1/2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 x))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1/2 x))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 x x))))) x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)

Outputs
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)

Calls

2 calls:

15.0ms	x
15.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 404 to 293 computations (27.5% saved)

regimes45.0ms (0.4%)

Counts

30 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
(/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(/.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x x)) x)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x) (*.f64 x 1/2)))
(.f64 x (.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (.f64 1/2 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 2 x)))
(/.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 2 x))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) x)
(/.f64 (/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 x (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 -1 x))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 x))
(.f64 (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (.f64 x x))
(.f64 2 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 (/.f64 1/2 x) x)))
(.f64 x (.f64 (/.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (*.f64 x (/.f64 1/2 x))))
(.f64 (/.f64 2 x) (/.f64 x (.f64 2 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(/.f64 (/.f64 1/2 x) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) (/.f64 1/2 x)))
(/.f64 (/.f64 1/2 x) (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1/2 x)) x))
(/.f64 (/.f64 1/2 x) (/.f64 (/.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (*.f64 x x))))) x))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Calls

2 calls:

15.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
15.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 382 to 275 computations (28% saved)

regimes12.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 x (+.f64 1/2 (/.f64 2 x))) x)
(/.f64 1 (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x -1/8))))
(/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 (/.f64 x (+.f64 1/2 (+.f64 (*.f64 x -1/8) (/.f64 2 x)))) x)
(.f64 (/.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (/.f64 2 x)))) x)
(/.f64 (.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) (.f64 x x)) x)
(.f64 (+.f64 x x) (.f64 (/.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 (/.f64 2 x))) x) (*.f64 x 1/2)))
(.f64 x (.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 2 (+.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x -1/8)))) (.f64 1/2 x))))

Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
17.1b	1	`x`

Compiler

Compiled 151 to 108 computations (28.5% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 2 (+.f64 1 (/.f64 4 x)))

Outputs
(/.f64 2 (+.f64 1 (/.f64 4 x)))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
17.2b	1	`x`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes4.0ms (0%)

Accuracy

Total -43.5b remaining (-247.8%)

Threshold costs -43.5b (-247.8%)

Counts

3 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))

Outputs
(/.f64 x 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
17.5b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	209

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(/.f64 x 2)
2

Outputs
(/.f64 (/.f64 x (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 2 (+.f64 1 (/.f64 4 x)))
(/.f64 x 2)
2

Compiler

Compiled 79 to 65 computations (17.7% saved)

soundness197.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-35`
1376×	`rational.json-simplify-51`
1316×	`rational.json-simplify-2`
1180×	`rational.json-simplify-50`
1134×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2686
1	643	2686
2	1727	2674
3	5395	2674

Stop Event

1×	node limit

Compiler

Compiled 359 to 299 computations (16.7% saved)

end99.0ms (0.8%)

Compiler: Compiled 73 to 59 computations (19.2% saved)